13128908800 has 360 divisors, whose sum is σ = 39330885440. Its totient is φ = 4246732800.

The previous prime is 13128908791. The next prime is 13128908803. The reversal of 13128908800 is 880982131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13128908803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54476680 + ... + 54476920.

Almost surely, 2^13128908800 is an apocalyptic number.

13128908800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13128908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19665442720).

13128908800 is an abundant number, since it is smaller than the sum of its proper divisors (26201976640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13128908800 is an equidigital number, since it uses as much as digits as its factorization.

13128908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The spelling of 13128908800 in words is "thirteen billion, one hundred twenty-eight million, nine hundred eight thousand, eight hundred".